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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-446-retractions-b.md

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+---
+id: 5900f52c1000cf542c51003d
+title: 'Problem 446: Retractions B'
+challengeType: 5
+forumTopicId: 302118
+dashedName: problem-446-retractions-b
+---
+
+# --description--
+
+For every integer n>1, the family of functions fn,a,b is defined
+
+by fn,a,b(x)≡ax+b mod n for a,b,x integer and 0
+
+F(N)=∑R(n4+4) for 1≤n≤N. F(1024)=77532377300600.
+
+Find F(107) (mod 1 000 000 007)
+
+# --hints--
+
+`euler446()` should return 907803852.
+
+```js
+assert.strictEqual(euler446(), 907803852);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler446() {
+
+  return true;
+}
+
+euler446();
+```
+
+# --solutions--
+
+```js
+// solution required
+```